The polygons are similar.
This is because dividing the corresponding sides forms the same ratio, as shown by the three equations below
35/28 = 1.25
25/20 = 1.25
(15.5)/(12.4) = 1.25
So the larger figure on the right has side lengths that are 1.25 times larger compared to the corresponding sides of the figure on the left.
You'll need to flip the figure on the left so that the side labeled "20" is along the top, and the "28" is along the bottom.
After this flip happens, also note that the angle arc markings match up. The bottom pairs of angles of each figure are shown with a single arc, while the top angles are shown as double arcs. This helps visually show which angles pair up and are congruent to one another.
Because we have similar proportions as discussed earlier, and congruent pairs of angles like this, this shows the two figures are similar quadrilaterals. The one on the right is simply an enlarged scaled up copy of the figure on the left.
Answer:
60 students
Step-by-step explanation:
The confidence interval of a proportion is given by:
![p\pm z*\sqrt{\frac{p*(1-p)}{n} }](https://tex.z-dn.net/?f=p%5Cpm%20z%2A%5Csqrt%7B%5Cfrac%7Bp%2A%281-p%29%7D%7Bn%7D%20%7D)
Where 'p' is the proportion of students who responded 'yes', 'z' is the z-score for a 95% confidence interval (which is known to be 1.960), and 'n' is the number of students in the sample.
If the confidence interval is from 0.584 to 0.816, then:
![p=\frac{0.584+0.816}{2}=0.7 \\0.816-0.584=2*(1.96*\sqrt{\frac{p*(1-p)}{n}}) \\0.116=1.96*\sqrt{\frac{0.7*(1-0.7)}{n}}\\n=16.8966^2*(0.7*0.3)\\n=60\ students](https://tex.z-dn.net/?f=p%3D%5Cfrac%7B0.584%2B0.816%7D%7B2%7D%3D0.7%20%5C%5C0.816-0.584%3D2%2A%281.96%2A%5Csqrt%7B%5Cfrac%7Bp%2A%281-p%29%7D%7Bn%7D%7D%29%20%5C%5C0.116%3D1.96%2A%5Csqrt%7B%5Cfrac%7B0.7%2A%281-0.7%29%7D%7Bn%7D%7D%5C%5Cn%3D16.8966%5E2%2A%280.7%2A0.3%29%5C%5Cn%3D60%5C%20students)
60 students were in the sample.
Answer:
1 no
2yes
3 no
4 no
5 Yes
6 Yes.
so it gives you a pattern right there a squared plus b squared equals c squared just fill in the numbers in that way
Answer:
Value of x =20
Step-by-step explanation:
Given: EF = 9x+14 units , FG = 56 units and EG = 250 units.
Segment Addition Postulates states the following for 3 points that are collinear.
i.e, Let three points A, B and C are collinear and B is between A and C.
i,e AC = AB + BC
By Segment addition postulates; solve for x;
EG = EF + FG
Substitute the given values we get;
250 = 9x + 14 + 56
or
250 = 9x + 70
Subtract 70 on both sides we get;
250 -70 = 9x + 70 -70
Simplify:
180 = 9x
Divide both sides by 9 we get;
![\frac{180}{9} = \frac{9x}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B180%7D%7B9%7D%20%3D%20%5Cfrac%7B9x%7D%7B9%7D)
Simplify:
x = 20
Therefore, the value of x =20